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11111107007 = 7111323220983
BaseRepresentation
bin10100101100100011…
…00000100110111111
31001200100111201101202
422112101200212333
5140223420411012
65034313330115
7542225564660
oct122621404677
931610451352
1011111107007
114791a26170
1221a110693b
131080c59840
14775953367
154506d9cc2
hex2964609bf

11111107007 has 48 divisors (see below), whose sum is σ = 15595980288. Its totient is φ = 7644162240.

The previous prime is 11111107003. The next prime is 11111107019. The reversal of 11111107007 is 70070111111.

11111107007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11111107007 - 22 = 11111107003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11111107007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111107003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519038 + ... + 540020.

It is an arithmetic number, because the mean of its divisors is an integer number (324916256).

Almost surely, 211111107007 is an apocalyptic number.

11111107007 is a deficient number, since it is larger than the sum of its proper divisors (4484873281).

11111107007 is a wasteful number, since it uses less digits than its factorization.

11111107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 11111107007 its reverse (70070111111), we get a palindrome (81181218118).

The spelling of 11111107007 in words is "eleven billion, one hundred eleven million, one hundred seven thousand, seven".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 529 1001 1771 2093 3289 3703 5819 6877 20983 23023 40733 48139 75647 146881 230813 272779 482609 529529 1615691 1909453 3000569 3378263 5308699 6273917 11100007 21003983 37160893 43917419 69013087 77700049 122100077 144300091 483091609 854700539 1010100637 1587301001 11111107007